# Angle Bisectors of Two Intersecting Lines

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This Demonstration plots the graphs of the equations of two lines in the form , , along with their two angle bisectors if the lines intersect.

Contributed by: Abraham Gadalla (March 2011)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

If the lines intersect, the point of intersection is

.

The equations of the angle bisectors are obtained by solving

.

The slope of the angle bisector in terms of the slope of the two lines and is

.

The slope of the perpendicular to the angle bisector is

.

Note that .

The equation of the angle bisector in point-slope form is

and the equation of the perpendicular to the angle bisector at the point of intersection is

.

## Permanent Citation